Using empirical relationship, the mode of a distribution whose mean is 7.2 and the median 7.1, is :
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Step-by-Step Solution
Step 1: Recall the Empirical Relationship
The empirical relationship between the mean, median, and mode is a statistical formula used for moderately skewed distributions. It states that the mode is approximately equal to three times the median minus two times the mean.
Step 2: Substitute Given Values
We are given the mean as 7.2 and the median as 7.1. We substitute these values into the empirical formula.
Step 3: Calculate the Products
Now, we perform the multiplications: 3×7.1=21.3 and 2×7.2=14.4.
Step 4: Calculate the Mode
Finally, we subtract 14.4 from 21.3 to find the value of the mode.